Initial Diagnostic Audit - Unit J1: Reflections, Rotations and Enlargements
Section J1.1 - Reflections
The shaded rectangle, ABCD, is shown in the diagram below.
1. The shaded shape is reflected in the x-axis, to form the shape A'B'C'D'.( )
2. The shape A'B'C'D' is reflected in the y-axis to form the shape A''B''C''D''.( )
3. The shape A''B''C''D'' is now reflected in the x-axis to form shape A'''B'''C'''D'''.( )
4. The shape A'''B'''C'''D''' is reflected so that it is coincident with ABCD.The x-axis The y-axis
The line y = x
5. The shape ABCD is reflected in the line x = -1.( )
Section J1.2 - Rotations
6. The shaded triangle ABC is rotated about O, clockwise, through 90°.( )
( )
7. The original shape ABC is rotated about O through 180°.( )
8. The original triangle ABC is rotated about the point (3, 0), anticlockwise through 90°.( )
9. What is the centre of rotation that takes the shape ABC to A'B'C' as shown in the diagram above?( )
Section J1.3 - Enlargements
The diagram shows the square ABCD which has been enlarged to give the other 3 squares.
Where scale factor values are not integers, input as a decimal, given correct to 2 d.p. where appropriate.
10.
What is the scale factor for ABCD to A'B'C'D'?
11. What is the scale factor for ABCD to A''B''C''D''?
12. What is the scale factor for ABCD to A'''B'''C'''D'''?
13. What are the coordinates of the centre of all of these enlargements? ( )
